About two decades since the discovery of the \(X(3872)\)  resonance, in spite of all the available experimental data measured by different collaborations [1]}, [2]}, [3]}, [4]}, [5]}, [6]}, [7]}, [8]}, [9]}, [10]}, the nature of the \(X(3872)\)  resonance is still unclear [11]}, [12]}, [13]}, [14]}, [15]}, [16]}, [17]}, [18]}. It has been interpreted as a tetraquark state of the diquark-antidiquark structure [19]}, [20]}, [21]}, [22]}, [23]}. While in recent works [24]}, [25]}, [26]}, it is pointed out that, from the viewpoint of effective ranges, the \(X(3872)\)  resonance should be viewed as an elementary core coupled with a sizeable \(D\bar{D}^*\)  component in the continuum. In fact, a new method was proposed in Ref. [27]} to determine the short distance \(c\bar{c}\)  component of \(X(3872)\)  from its production in the semileptonic and nonleptonic \(B_c\)  decays.
